The Saffman-Taylor family of viscous fingering patterns is generalized to the case of nonsymmetric forcing; this type of forcing would occur if the Hele-Shaw cells were rotated (about the flow axis) in the presence of a gravitational field. At small surface energy, the selected pattern is determined analytically, which, not surprisingly, lacks reflection symmetry about the middle of the cell. The connection of this problem to that of nonsymmetric dendritic crystal growth is briefly discussed.